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Membership type: full

Amalia Carolina Pizarro Madariaga

Country of origin: Chile Currently in: Chile, Valparaíso General field of specialization: Mathematical sciences
Academic Background

Degrees

2009 Doctorate Mathematical sciences
Research and Profession

Current Research Activities

Mathematical sciences

I am researcher in Number Theory. I am focused in Computational Algebraic Number Theory and applications to Cryptography.


Publications resulting from Research: 


A. Pizarro-Madariaga, Irreducible characters with bounded root Artin conductor. To appear in Algebra and Number Theory arXiv:1702.01883

T. Komatsu, A. Pizarro-Madariaga, Harmonic numbers associated with inversion numbers in terms of determinants. Turkish Journal of Mathematics 43 (2019): 340-354

Y. Bilu, T. Komatsu, F. Luca, A. Pizarro-Madariaga, P. Stanica, On a divisibility relation for Lucas sequences. J. Number Theory 163 (2016), 1-18. http://arxiv.org/abs/1511.01970

Y. Bilu, F.Luca and A.Pizarro-Madariaga, Rational Products of Singular Moduli. J. Number Theory 158 (2016), 397–410. http://arxiv.org/abs/1410.1806

J.Cilleruelo, F. Luca and A.Pizarro-Madariaga, Carmichael Numbers in the sequence {2^nk+1}n>1. Math. Comp.85 (2016), no. 297, 357–377. http://arxiv.org/abs/1305.3580v1

B.Allombert, Y. Bilu and A. Pizarro-Madariaga, CM-Points on Straight Lines. "Analytic Number Theory". In honor of Helmut Maier’s 60th birthday, Springer, New York, 2015. http://arxiv.org/abs/1406.1274

F.Luca, R. Menares and A. Pizarro-Madariaga, On shifted primes with large factors and their products. Bull. Belg. Math. Soc. Simon Stevin 22 (2015) no. 1, 39-47. http://arxiv.org/abs/1311.2527v1

F.Luca, C.Pomerance and A.Pizarro-Madariaga, A counting function of irregular primes. Indagationes Mathematicae 26 (2015) no. 1 , 147–161.

F. Luca and A. Pizarro-Madariaga, Some remarks on the Riemann zeta function and prime factors of numerators of Bernoulli numbers. Bulletin of the Australian Mathematical Society, 86 (2012), pp 216-223.

A. Pizarro-Madariaga, Lower bound for the Artin Conductor. Math. Comp. 80 (2011), no. 273, 539-561.



Current profession

Current professional activities type: 
Research
Administration
Teaching
I am an Associate Professor in the Institute of Mathematics at the University of Valparaíso. Among my responsabilities, I am the Director of the Institute and member of the Directory Board of the Chilean Mathematical Society. I do research and teach undergraduate and graduate courses.

Affiliations

Sociedad de Matemáticas de Chile